By sheer luck nobody was hurt in the explosion.

万幸的是，没有人在爆炸中受伤。

He won by sheer luck.

他的获胜纯粹是因为幸运。

Success is not achieved by sheer luck. ;

乐成不是完全靠命运获得。

I have found this well-paid job by sheer luck.

我全凭运气找到这份报酬优厚的工作。